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Finding the Third Proportional to 200,972 and 311,046

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Solution

The third proportional to 200,972 and 311,046 is: 481,408.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,972 : 311,046 = 311,046 : x
  2. Step 2: Convert to fraction form
    200,972/311,046 = 311,046/x
  3. Step 3: Cross multiply
    200,972x = 311,046 × 311,046
  4. Step 4: Simplify right side
    200,972x = 96,749,614,116
  5. Step 5: Solve for x
    x = 96,749,614,116/200,972
  6. Step 6: Final answer
    x = 481,408.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.